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Finding the Third Proportional to 443,824.31 and 970,682.48

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Solution

The third proportional to 443,824.31 and 970,682.48 is: 2,122,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,824.31 : 970,682.48 = 970,682.48 : x
  2. Step 2: Convert to fraction form
    443,824.31/970,682.48 = 970,682.48/x
  3. Step 3: Cross multiply
    443,824.31x = 970,682.48 × 970,682.48
  4. Step 4: Simplify right side
    443,824.31x = 942,224,485,472.42
  5. Step 5: Solve for x
    x = 942,224,485,472.42/443,824.31
  6. Step 6: Final answer
    x = 2,122,967.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.